- Tytuł:
- Continuous characters and joint topological spectrum
- Autorzy:
- Żelazko, W.
- Powiązania:
- https://bibliotekanauki.pl/articles/970262.pdf
- Data publikacji:
- 2007
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
semitopological algebra
character
(joint) topological spectrum
generators - Opis:
- It is well known that there is a one-to-one correspondence between the characters of a finitely generated commutative Banach algebra and the joint spectrum of its generators. In this paper we show that this fact is also true for an arbitrary semitopological algebra and its continuous characters, provided we replace the concept of a joint spectrum by concept of a topological joint spectrum. In particular, we show that a finitely generated semitopological algebra has a continuous character if and only if the topological joint spectrum of its generators is non-void.
- Źródło:
-
Control and Cybernetics; 2007, 36, 3; 859-864
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł